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We extend a previous framework for designing differentially private (DP) mechanisms via randomized graph colorings that was restricted to binary functions, corresponding to colorings in a graph, to multi-valued functions. As before,…

Cryptography and Security · Computer Science 2022-05-16 Ziqi Zhou , Onur Günlü , Rafael G. L. D'Oliveira , Muriel Médard , Parastoo Sadeghi , Rafael F. Schaefer

We study a new framework for designing differentially private (DP) mechanisms via randomized graph colorings, called rainbow differential privacy. In this framework, datasets are nodes in a graph, and two neighboring datasets are connected…

Cryptography and Security · Computer Science 2024-04-08 Yuzhou Gu , Ziqi Zhou , Onur Günlü , Rafael G. L. D'Oliveira , Parastoo Sadeghi , Muriel Médard , Rafael F. Schaefer

Recently, numerous preference optimization algorithms have been introduced as extensions to the Direct Preference Optimization (DPO) family. While these methods have successfully aligned models with human preferences, there is a lack of…

Artificial Intelligence · Computer Science 2025-03-04 Hanyang Zhao , Genta Indra Winata , Anirban Das , Shi-Xiong Zhang , David D. Yao , Wenpin Tang , Sambit Sahu

We extend a recent breakthrough result relating expectation thresholds and actual thresholds to include some rainbow versions.

Combinatorics · Mathematics 2023-12-25 Tolson Bell , Alan Frieze , Trent G. Marbach

Continual learning is a realistic learning scenario for AI models. Prevalent scenario of continual learning, however, assumes disjoint sets of classes as tasks and is less realistic rather artificial. Instead, we focus on 'blurry' task…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Jihwan Bang , Heesu Kim , YoungJoon Yoo , Jung-Woo Ha , Jonghyun Choi

This paper presents pricing and hedging methods for rainbow options and lookback options under Bayesian Markov-Switching Vector Autoregressive (MS--VAR) process. Here we assumed that a regime-switching process is generated by a homogeneous…

Mathematical Finance · Quantitative Finance 2023-06-01 Battulga Gankhuu

The change point is a moment of an abrupt alteration in the data distribution. Current methods for change point detection are based on recurrent neural methods suitable for sequential data. However, recent works show that transformers based…

Machine Learning · Computer Science 2022-04-19 Anna Dmitrienko , Evgenia Romanenkova , Alexey Zaytsev

We give a short, self-contained proof of the interior point method and its robust version.

Data Structures and Algorithms · Computer Science 2021-08-11 Yin Tat Lee , Santosh S. Vempala

The problem of distributed representation learning is one in which multiple sources of information $X_1,\ldots,X_K$ are processed separately so as to learn as much information as possible about some ground truth $Y$. We investigate this…

Machine Learning · Statistics 2019-04-02 Inaki Estella Aguerri , Abdellatif Zaidi

We consider the problem of finding a large rainbow matching in a random graph with randomly colored edges. In particular we analyze the performance of two greedy algorithms for this problem. The algorithms we study are colored versions of…

Combinatorics · Mathematics 2023-07-04 Patrick Bennett , Colin Cooper , Alan Frieze

We present efficient differentiable implementations of second-order multi-hop reasoning using a large symbolic knowledge base (KB). We introduce a new operation which can be used to compositionally construct second-order multi-hop templates…

Machine Learning · Computer Science 2019-05-28 William W. Cohen , Haitian Sun , R. Alex Hofer , Matthew Siegler

When is keeping a memory of observations worthwhile? We use hidden Markov models to look at phase transitions that emerge when comparing state estimates in systems with discrete states and noisy observations. We infer the underlying state…

Statistical Mechanics · Physics 2017-07-05 Emma Lathouwers , John Bechhoefer

We present an algorithm for marginalising changepoints in time-series models that assume a fixed number of unknown changepoints. Our algorithm is differentiable with respect to its inputs, which are the values of latent random variables…

Machine Learning · Computer Science 2019-11-25 Hyoungjin Lim , Gwonsoo Che , Wonyeol Lee , Hongseok Yang

This paper introduces PG-Rainbow, a novel algorithm that incorporates a distributional reinforcement learning framework with a policy gradient algorithm. Existing policy gradient methods are sample inefficient and rely on the mean of…

Machine Learning · Computer Science 2024-07-22 WooJae Jeon , KangJun Lee , Jeewoo Lee

Illumination estimation is often used in mixed reality to re-render a scene from another point of view, to change the color/texture of an object, or to insert a virtual object consistently lit into a real video or photograph. Specifically,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Grégoire Nieto , Salma Jiddi , Philippe Robert

We introduce the algorithmic problem of finding a locally rainbow path of length $\ell$ connecting two distinguished vertices $s$ and $t$ in a vertex-colored directed graph. Herein, a path is locally rainbow if between any two visits of…

Data Structures and Algorithms · Computer Science 2024-02-21 Till Fluschnik , Leon Kellerhals , Malte Renken

By some new recursive algorithms, in this paper, we will give some improvements on Waring's problem.

Combinatorics · Mathematics 2020-02-11 An-Ping Li

The use of algebraic techniques to solve combinatorial problems is studied in this paper. We formulate the rainbow connectivity problem as a system of polynomial equations. We first consider the case of two colors for which the problem is…

Discrete Mathematics · Computer Science 2011-09-13 Prabhanjan Ananth , Ambedkar Dukkipati

Moments when a time series changes its behavior are called change points. Occurrence of change point implies that the state of the system is altered and its timely detection might help to prevent unwanted consequences. In this paper, we…

Machine Learning · Computer Science 2026-03-10 Mikhail Hushchyn , Kenenbek Arzymatov , Denis Derkach

Sequential recommendation aims to recommend the next item of users' interest based on their historical interactions. Recently, the self-attention mechanism has been adapted for sequential recommendation, and demonstrated state-of-the-art…

Information Retrieval · Computer Science 2022-09-19 Bo Peng , Srinivasan Parthasarathy , Xia Ning
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